dorsal/arxiv
View SchemaAccidental Degeneracy and Berry Phase of Resonant States
| Authors | A. Mondragon, E. Hernandez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9710018 |
| URL | https://arxiv.org/abs/quant-ph/9710018 |
| DOI | 10.1007/BFb0106786 |
Abstract
We study the complex geometric phase acquired by the resonant states of an open quantum system which evolves irreversibly in a slowly time dependent environment. In analogy with the case of bound states, the Berry phase factors of resonant states are holonomy group elements of a complex line bundle with structure group C*. In sharp contrast with bound states, accidental degeneracies of resonances produce a continuous closed line of singularities formally equivalent to a continuous distribution of "magnetic" charge on a "diabolical" circle, in consequence, we find different classes of topologically inequivalent non-trivial closed paths in parameter space.
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"abstract": "We study the complex geometric phase acquired by the resonant states of an\nopen quantum system which evolves irreversibly in a slowly time dependent\nenvironment. In analogy with the case of bound states, the Berry phase factors\nof resonant states are holonomy group elements of a complex line bundle with\nstructure group C*. In sharp contrast with bound states, accidental\ndegeneracies of resonances produce a continuous closed line of singularities\nformally equivalent to a continuous distribution of \"magnetic\" charge on a\n\"diabolical\" circle, in consequence, we find different classes of topologically\ninequivalent non-trivial closed paths in parameter space.",
"arxiv_id": "quant-ph/9710018",
"authors": [
"A. Mondragon",
"E. Hernandez"
],
"categories": [
"quant-ph",
"hep-th",
"nucl-th"
],
"doi": "10.1007/BFb0106786",
"title": "Accidental Degeneracy and Berry Phase of Resonant States",
"url": "https://arxiv.org/abs/quant-ph/9710018"
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